Usage of the word "orthogonal" outside of mathematics
Feb 11, 2011 · I always found the use of orthogonal outside of mathematics to confuse conversation. You might imagine two orthogonal lines or topics intersecting perfecting and deriving meaning from …
Difference between Perpendicular, Orthogonal and Normal
Aug 26, 2017 · Orthogonal is likely the more general term. For example I can define orthogonality for functions and then state that various sin () and cos () functions are orthogonal. An orthogonal basis …
orthogonality - What does it mean when two functions are "orthogonal ...
Jul 12, 2015 · I have often come across the concept of orthogonality and orthogonal functions e.g in fourier series the basis functions are cos and sine, and they are orthogonal. For vectors being …
linear algebra - What is the difference between orthogonal and ...
Aug 4, 2015 · I am beginner to linear algebra. I want to know detailed explanation of what is the difference between these two and geometrically how these two are interpreted?
orthogonal vs orthonormal matrices - what are simplest possible ...
Sets of vectors are orthogonal or orthonormal. There is no such thing as an orthonormal matrix. An orthogonal matrix is a square matrix whose columns (or rows) form an orthonormal basis. The …
Eigenvalues in orthogonal matrices - Mathematics Stack Exchange
An orthogonal transformation is either a rotation or a reflection. I will focus on 3D which has lots of practical use. Let us then assume that A A is an orthonormal matrix in R3 ×R3 R 3 × R 3. We find …
How to find an orthogonal vector given two vectors?
So taking the cross product gives me orthogonal vector in R3 R 3. And how to approach the same question in R2 R 2 for example...I mean with two vectors each having two componetns?
Are all eigenvectors, of any matrix, always orthogonal?
May 8, 2012 · In general, for any matrix, the eigenvectors are NOT always orthogonal. But for a special type of matrix, symmetric matrix, the eigenvalues are always real and eigenvectors corresponding to …
What does it mean for two matrices to be orthogonal?
May 2, 2015 · The term "orthogonal matrix" probably comes from the fact that such a transformation preserves orthogonality of vectors (but note that this property does not completely define the …
What does it mean for two functions to be orthogonal?
Nov 4, 2015 · To check whether two functions are orthogonal, you simply take their inner product in Rn R n. That is, you multiply the functions on the subintervals and then sum the products. When you let …